Publication Date

1967

Document Type

Dissertation/Thesis

First Advisor

Beach, James W.||McKenzie, Harvey C.

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Mathematics

LCSH

Decimal system; Decimal fractions

Abstract

The purpose of this study is to present reasons for and a study of periodic and terminating fractions in different bases. Basic definitions are stated and a brief history of decimals is given as an introduction. The study shows how to determine if a fraction is periodic or terminating. If the fraction is periodic, a method to predict something about the actual length of the period is given. A method using properties of Farey fractions is developed to indicate the percent of terminating Farey fractions for any base. A study is made to determine the percent of terminating fractions in various bases.

Comments

Includes bibliographical references.

Extent

48 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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